Samarskii-Ionkin two-point boundary conditions for a fractional pseudoparabolic equation

M.U. Sagdullaeva, Gafurjan A. Khasanov, T.K. Yuldashev

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2025-yil

Annotatsiya

This paper is devoted to study the mixed problem for a nonhomogeneous pseudoparabolic equation. The Hilfer fractional equation is studied with initial value conditions recording first variable t and Samarskii-Ionkin type boundary value conditions recording second variable x. Spectral problem is studied and eigenvalues, eigenfunctions are found. The solution is constructed on the form of Fourier series. Existence and uniqueness of solution's theorems are proved.

Maqola ma’lumotlari
MualliflarM.U. Sagdullaeva, Gafurjan A. Khasanov, T.K. Yuldashev
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
Nashr sanasi2025-06-01
Jild1
Son3
Betlar5-14
Tilen
DOI10.59251/2181-3973.2025.v1.138.1.3562

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